What mass of carbon can 3000 J of energy raise from 12°C to 40°C?

The answer to your question is mass = 0.824 kg or mass = 82.4 g

Explanation:

Data

Mass = m

Energy = E = 3000 J

Temperature 1 = T1 = 12°C

Temperature 2 = T2 = 40°C

Specific heat of C = 1300 kJ/kg°K

Process

1. - Convert temperature to Kelvin

T1 = 273 + 12 = 285°K

T2 = 273 + 40 = 313°K

2. - Substitution

Energy = m C (T2 - T1)

- Solve for m

mass = Energy / C (T2 - T1)

mass = 3000 / 1300 (313 - 285)

mass = 3000 / 1300 (28)

mass = 3000 / 36400

mass = 0.082 kg

or mass = 82.4 g